Mathematics High School

Points S, Q, R, and T all lie on the same line; Given. Arrows are drawn from this statement to the following three statements. Statement 1: The measure of angle SQT equals 180 degrees; Reason 1: Definition of a Straight Angle. Statement 2: The measure of angle SQV plus the measure of angle VQT equals the measure of angle SQT; Reason 2: Angle Addition Postulate. Statement 3: The measure of angle SQV plus the measure of angle VQT equals 180 degrees; Reason 3: Substitution Property of Equality. Lines UV and WZ are parallel; Given. An arrow is drawn from this statement to the following statements. Statement 4: The measure of angle VQT plus the measure of angle ZRS equals 180 degrees; Reason A. Statement 5: The measure of angle SQV plus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS; Reason B. An arrow also points from Statement 3 to Statement 5. An arrow from Statement 5 points to the following statements. Statement 6: The measure of angle SQV plus the measure of angle VQT minus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS minus the measure of angle VQT, the measure of angle SQV equals the measure of angle ZRS; Reason C. Statement 7: The measure of angle SQV is congruent to the measure of angle ZRS; Definition of Congruency.

Which theorem accurately completes Reason A?

Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem

Answers

Answer 1

9514 1404 393

Answer:

  (d)  Same-Side Interior Angles Theorem

Step-by-step explanation:

Of the offered choices, only one deals with supplementary angles:

  Same-Side Interior Angles Theorem

_____

A diagram would be helpful. We have to assume here that WZ passes through R, and that Z is on the same side of ST as is V. If that is not the case, then the problem makes no sense.

Related Questions

solve by factoring x^2+5-14=0

Answers

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

6)$$;6?6?6?6gvhxhtfi

sales tax is 7% what is the amount of sales tax you would pay this bill​

Answers

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

93 is what percent of 300

Answers

[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]

[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]

[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]

[tex]\sf \longmapsto \: 31\%[/tex]

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answers

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

It costs $11 for 15 granola bars.

What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?

Answers

Answer:

0.73

Step-by-step explanation:

What are the terms in the following expression? Choose all that apply.

c + 4a + 2b + 7

Answers

Answer:

C, 4a, 2b and 7

Step-by-step explanation:

Answer this -
also can you answer faster kid?

Answers

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

∴ AB = AC ⇒ ∠B = ∠C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)

⇒ 3x - 10 = 25 + x + 15

⇒ 3x - 10 = 40 + x

⇒ 3x - x = 40 + 10

⇒ 2x = 50

⇒ x = 50/2

⇒ x = 25

∴ The value of 'x' in the given figure is 25!

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answer and please show work.​

Answers

For the equation y=3x−5 , the slope is 3 and the y-intercept is −5 .

Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x

The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)

Simplify.

m=11/2.

f(1) = 4
f(x) = f(x-1) + 3
Find f(2)

Answers

f(2)= f(2-1)+3

f(2)=f(1)+3

In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?

Answers

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following​

Answers

Answer:

x = -10 or 2

Step-by-step explanation:

the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area
​

Answers

Answer:

perimeter =20cmbreadth=2cmlength=?

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

Urgently please it is due today

Answers

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]

A.) $4,000

B.) $5,100

C.) $4,100

D.) $3,900

Answers

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

ples help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

po 989r9  vcmc cohol,j

Step-by-step explanation:

of a line in point slope form

Answers

☆Answer : (X1, Y1) = (7, 1)(X2, Y2) = (4, -2)

m = (Y2 - Y1)/(X2 - X1)

m = (-2 - 1)/(4 - 7)

m = -3/-3

m = 1

Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2

Answers

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

if a ll b and line c is perpendicular to line a then line b and c are?​

Answers

Answer:

perpendicular

Step-by-step explanation:

Answer:

Perpendicular

-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution

Answers

Answer: u = -2

Step-by-step explanation:

-3(u+4)-2u=2(u+1)

-3u-12-2u=2u+2

-5u-12=2u+2

-7u = 14

u = -2

Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8

Answers

Answer:

B, D and E

Step-by-step explanation:

The first triangle inequality theorem states:

the lengths of any two sides of a triangle must add up to more than the length of the third side.

So as long as the sum of the two shortest is greater than the longest side a triangle is possible

А

7 + 9 < 17  NO

B

2 + 7 > 8   YES

C

1 + 3 < 5   NO

D

3 + 5 > 6   YES

E

12 + 12 > 13  YES

F

3 + 8 = 11    NO

Please can I have help on this?

Answers

Answer:

9 :)

Step-by-step explanation:its 9

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

If f(x)=X^2+1, g(x)=9x_1

Answers

Answer:

I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)

Step-by-step explanation:

Write 9 2/3 as a inpropper fraction

Answers

29/3

9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Answers

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

20 decreased by the product of 5 and a number x

Answers

20 - 5x should be correct

Help I need this quick!!

Answers

T(x) = 3x³ - 2x² - 6x - 5

T(2) = 3(2)³ - 2(2)² - 6(2) - 5

T(2) = 3(8) - 2(4) - 12 - 5

T(2) = 24 - 8 - 17

T(2) = 16 - 17

T(2) = -1 (B.)

Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.​

Answers

Answer:

its 19 ur welcome byeeee

Step-by-step explanation:

PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.

When graphed, all of the points in the table lie on the same line.

Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?

Question 1 options:

Slope = 2, y-Intercept = -4


Slope = -2, y-Intercept = -4


Slope = 1, y-Intercept = 2


Slope = -1, y-Intercept = 2

Answers

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Find the slope of the line that passes through (7, 1) and (2, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Slope formula: (y2-y1)/(x2-x1)
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5

The slope is -2/5

Answer:

-2/5

Step-by-step explanation:

slope equation is as follows -

(y1-y2)/(x1-x2)

now we just put (7,1) and (2,3) into the formula

(1-3)/(7-2)

-2/5

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